1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
5

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants

the shelving to be 9 feet high and 10 feet long. The wall brackets come in 48-inch and 60-inch sections. The 48-inch sections cost $12.95; the 60-inch sections cost $16.95. The brackets should be 1 foot from each end and no more than 24 inches apart. What will be the total cost of the brackets, before tax?
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches

The brackets are
48/12 = 4 feet
and
60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3 

The total cost is
($12.95 + <span>$16.95) * 3 = $89.7
The total cost of the brackets is </span>$89.7
You might be interested in
3. 'a' and 'b' are the intercepts made
Julli [10]

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

\dfrac{x}{a}+\dfrac{y}{b}=1         ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

\dfrac{x}{a}+\dfrac{y}{3a}=1           ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

\dfrac{1}{a}+\dfrac{3}{3a}=1

\dfrac{1}{a}+\dfrac{1}{a}=1

\dfrac{2}{a}=1

Multiply both sides by a.

2=a

The value of a is 2. So, x-intercept is 2.

Putting a=2 in b=3a, we get

b=3(2)

b=6

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

\dfrac{x}{2}+\dfrac{y}{6}=1

Therefore, the equation of the required line in intercept form is \dfrac{x}{2}+\dfrac{y}{6}=1.

5 0
2 years ago
What is the factored form of x^2-x-2
tekilochka [14]

For this case we have:

By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.

That is to say:

Given an expression of the form x ^ 2 + (a + b) x + ab

We can factor in the following way:

(x + a) (x + b)

Since, its product is: x ^ 2 + bx + ax + ab = x ^ 2 + (a + b) x + ab,

checking the given definition.

If we have:

x ^ 2-x-2

We can factor:

(x-2) (x + 1)

When making your product we obtain:x ^ 2 + x-2x-2 = x ^ 2-x-2

Answer:

(x-2) (x + 1)


6 0
3 years ago
Please i need help asap!! ​
chubhunter [2.5K]

Answer:

(-4,-1) is the answer to this.

7 0
2 years ago
asmine left the house at 7.10 am to go to work. She gets back at 6.35 pm. How long is she out of the house?
ratelena [41]

Answer: 11 hours and 25 minutes


Step-by-step explanation:

Since she left at 7:10 am you can add 50 minutes and you will get 8, then all the way to 6 pm is 10 hours. Now you just have 50 and 35 minutes that you havent added to the total yet so when you add those two together you get 85. But there isnt 85 minutes in a hour so you would have yo break it down and you would get 1 hour and 25 minutes. Add 1 hour and 25 minutes to 10 hours and you get 11 hours and 25 minute. I hope that helps!

Sorry if you didnt under stand my explanation.

8 0
3 years ago
Please help ASAP.<br> What is the length os side BC of the triangle
Nuetrik [128]

nswer:

B C = 24

Explanation:

The triangle is isosceles, because (from the diagram)  ∠ A B C = ∠ A C B  - note how the angle there is marked on both of these. If these angles are equal, this means that the sides  

A C = A B

let  A C = A B

x +8=2x-1

8 = x − 1

x = 9

We want to find the length of  

B C , which is  ( 3 x − 3 ) . We know that  x = 9

B C =3 x − 3

B C = 3 ( 9 ) −3

B C = 27 − 3

B C = 24

7 0
3 years ago
Other questions:
  • 1.32:3 1/7 =(1.4y): 5/6
    12·1 answer
  • In your own words, define Quadratic Equation. How many solutions does a Quadratic Equation have?
    5·1 answer
  • I think the answer is 38 but i’m not sure.
    11·1 answer
  • Simplify <br> 12 (6) - 7 (2) + (6-3)
    14·2 answers
  • Xin uses 20 yards of fencing to build the walls of a square chicken coop. Which equation and solution represent x,the length, in
    7·2 answers
  • Find the interquartile range of the following data set:
    14·1 answer
  • As an estimation we are told 5 miles is 8 km.<br> Convert 27.4 miles to km.
    5·1 answer
  • Find the surface area of this triangular prisim.And pls expliane how you got that answer aswell pls.:)​
    15·1 answer
  • I need help anyone plss :)
    5·1 answer
  • Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!